468386688000 has 2112 divisors, whose sum is σ = 2068903489536. Its totient is φ = 92897280000.

The previous prime is 468386687959. The next prime is 468386688041. The reversal of 468386688000 is 886683864.

It is an interprime number because it is at equal distance from previous prime (468386687959) and next prime (468386688041).

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6416255964 + ... + 6416256036.

Almost surely, 2^468386688000 is an apocalyptic number.

468386688000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468386688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034451744768).

468386688000 is an abundant number, since it is smaller than the sum of its proper divisors (1600516801536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468386688000 is a wasteful number, since it uses less digits than its factorization.

468386688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 468386688000 in words is "four hundred sixty-eight billion, three hundred eighty-six million, six hundred eighty-eight thousand".